Question: Use Eulers identity to (a) Show the identities (i) cos( + ) = cos() cos() sin() sin() (ii) sin( + ) = sin() cos()

Use Euler’s identity to

(a) Show the identities

(i) cos(α + β) = cos(α) cos(β) − sin(α) sin(β)

(ii) sin(α + β) = sin(α) cos(β) + cos(α) sin(β)

(b) Find an expression for cos(α) cos(β), and for sin(α) sin(β).

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